Least Common Multiple of 2620 and 2625

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2620 and 2625 the smallest integer that is 1375500 that is divisible by both numbers.

Least Common Multiple (LCM) of 2620 and 2625 is 1375500.

LCM(2620,2625) = 1375500

LCM of 2620 and 2625

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 2620 and 2625

LCM of 2620 and 2625 is 1375500

Least common multiple can be found by multiplying the highest exponent prime factors of 2620 and 2625. First we will calculate the prime factors of 2620 and 2625.

Prime Factorization of 2620


2 2620
2 1310
5 655
131 131
1

Prime factors of 2620 are 2, 5,131. Prime factorization of 2620 in exponential form is:

2620 = 22×51×1311

Prime Factorization of 2625


3 2625
5 875
5 175
5 35
7 7
1

Prime factors of 2625 are 3, 5,7. Prime factorization of 2625 in exponential form is:

2625 = 31×53×71

Now multiplying the highest exponent prime factors to calculate the LCM of 2620 and 2625.

LCM(2620,2625) = 22×31×53×71×1311
LCM(2620,2625) = 1375500

Factors of 2620

List of positive integer factors of 2620 that divides 2620 without a remainder.

1, 2, 4, 5, 10, 20, 131, 262, 524, 655, 1310, 2620

Factors of 2625

List of positive integer factors of 2625 that divides 2625 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 125, 175, 375, 525, 875, 2625

Least Common Multiple of 2620 and 2625 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2620 and 2625, than apply into the LCM equation.

GCF(2620,2625) = 5
LCM(2620,2625) = ( 2620 × 2625) / 5
LCM(2620,2625) = 6877500 / 5
LCM(2620,2625) = 1375500

Properties of LCM 2620 and 2625

(i) The LCM of 2625 and 2620 is associative

LCM of 2620 and 2625 = LCM of 2625 and 2620

Related Least Common Multiples of 2620

Related Least Common Multiples of 2625

Frequently Asked Questions on LCM of 2620 and 2625

1. What is the LCM of 2620 and 2625?

Answer: LCM of 2620 and 2625 is 1375500.

2. What are the Factors of 2620?

Answer: Factors of 2620 are 1, 2, 4, 5, 10, 20, 131, 262, 524, 655, 1310, 2620. There are 12 integers that are factors of 2620. The greatest factor of 2620 is 2620.

3. What are the Factors of 2625?

Answer: Factors of 2625 are 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 125, 175, 375, 525, 875, 2625. There are 16 integers that are factors of 2625. The greatest factor of 2625 is 2625.

4. How to Find the LCM of 2620 and 2625?

Answer:

Least Common Multiple of 2620 and 2625 = 1375500

Step 1: Find the prime factorization of 2620

2620 = 2 x 2 x 5 x 131

Step 2: Find the prime factorization of 2625

2625 = 3 x 5 x 5 x 5 x 7

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 1375500 = 2 x 2 x 3 x 5 x 5 x 5 x 7 x 131

Step 4: Therefore, the least common multiple of 2620 and 2625 is 1375500.